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Simplifying 5b + -3[7 + -1(1 + -2m)] = 0 5b + -3[7 + (1 * -1 + -2m * -1)] = 0 5b + -3[7 + (-1 + 2m)] = 0 Combine like terms: 7 + -1 = 6 5b + -3[6 + 2m] = 0 5b + [6 * -3 + 2m * -3] = 0 5b + [-18 + -6m] = 0 Reorder the terms: -18 + 5b + -6m = 0 Solving -18 + 5b + -6m = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 5b + 18 + -6m = 0 + 18 Reorder the terms: -18 + 18 + 5b + -6m = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 5b + -6m = 0 + 18 5b + -6m = 0 + 18 Combine like terms: 0 + 18 = 18 5b + -6m = 18 Add '6m' to each side of the equation. 5b + -6m + 6m = 18 + 6m Combine like terms: -6m + 6m = 0 5b + 0 = 18 + 6m 5b = 18 + 6m Divide each side by '5'. b = 3.6 + 1.2m Simplifying b = 3.6 + 1.2m
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